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Year 9 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 9 volume & capacity worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Volume & Capacity

Year 9 Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 2 — Answers

Show your working. Use the π button on your calculator and round to 1 decimal place.

1.A triangular prism has a triangular end with base 14 cm and height 5 cm. The prism is 8 cm long. Find its volume.

Answer: 280 cm3

  1. Area of the triangle = ½ × 14 × 5 = 35 cm2
  2. V = area of end × length = 35 × 8
  3. = 280 cm3
2.A rectangular prism has a volume of 160 cm3. Its base is 8 cm by 10 cm. Find its height.

Answer: 2 cm

  1. Base area = 8 × 10 = 80 cm2
  2. Height = 160 ÷ 80 = 2 cm
3.A rectangular prism has a volume of 24 cm3. Its base is 4 cm by 3 cm. Find its height.

Answer: 2 cm

  1. Base area = 4 × 3 = 12 cm2
  2. Height = 24 ÷ 12 = 2 cm
4.A rectangular prism has a volume of 180 cm3. Its base is 5 cm by 9 cm. Find its height.

Answer: 4 cm

  1. Base area = 5 × 9 = 45 cm2
  2. Height = 180 ÷ 45 = 4 cm
5.A triangular prism has a triangular end with base 12 cm and height 10 cm. The prism is 5 cm long. Find its volume.

Answer: 300 cm3

  1. Area of the triangle = ½ × 12 × 10 = 60 cm2
  2. V = area of end × length = 60 × 5
  3. = 300 cm3
6.A cylinder has a radius of 7 cm and a height of 7 cm. Find its volume, correct to 1 decimal place.

Answer: 1077.6 cm3

  1. V = π × r2 × h = π × 72 × 7
  2. = π × 343
  3. ≈ 1077.6 cm3
7.A cylinder has a radius of 8 cm and a height of 9 cm. Find its volume, correct to 1 decimal place.

Answer: 1809.6 cm3

  1. V = π × r2 × h = π × 82 × 9
  2. = π × 576
  3. ≈ 1809.6 cm3
8.A rectangular prism has a volume of 198 cm3. Its base is 11 cm by 2 cm. Find its height.

Answer: 9 cm

  1. Base area = 11 × 2 = 22 cm2
  2. Height = 198 ÷ 22 = 9 cm
9.A cylinder has a radius of 2 cm and a height of 17 cm. Find its volume, correct to 1 decimal place.

Answer: 213.6 cm3

  1. V = π × r2 × h = π × 22 × 17
  2. = π × 68
  3. ≈ 213.6 cm3
10.A triangular prism has a triangular end with base 8 cm and height 10 cm. The prism is 4 cm long. Find its volume.

Answer: 160 cm3

  1. Area of the triangle = ½ × 8 × 10 = 40 cm2
  2. V = area of end × length = 40 × 4
  3. = 160 cm3
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